If 1,omega,omega^(2),...omega^(n-1) are ...

If `1,omega,omega^(2),...omega^(n-1)` are n, nth roots of
unity, find the value of `(9-omega)(9-omega^(2))...(9-omega^(n-1)).`

A

`1/(2^n -1)`

B

`(n(2^n-1))/(2^n +1)`

C

`((n-2)2^(n-1))/(2^n -1)`

D

`(n2^(n-1)-2^n+1)/(2^n-1)`

Verified by Experts

The correct Answer is:

D

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